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22422355120 = 24511279109269
BaseRepresentation
bin10100111000011110…
…011111110010110000
32010212122121122210001
4110320132133302300
5331410110330440
614144540515344
71422434605504
oct247036376260
963778548701
1022422355120
119566920300
12441924bb54
1321644bc969
141129cc4304
158b375ab9a
hex53879fcb0

22422355120 has 240 divisors, whose sum is σ = 58777488000. Its totient is φ = 7946864640.

The previous prime is 22422355091. The next prime is 22422355127. The reversal of 22422355120 is 2155322422.

It is not an unprimeable number, because it can be changed into a prime (22422355127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83354346 + ... + 83354614.

It is an arithmetic number, because the mean of its divisors is an integer number (244906200).

Almost surely, 222422355120 is an apocalyptic number.

22422355120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22422355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29388744000).

22422355120 is an abundant number, since it is smaller than the sum of its proper divisors (36355132880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22422355120 is a wasteful number, since it uses less digits than its factorization.

22422355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 22422355120 its reverse (2155322422), we get a palindrome (24577677542).

The spelling of 22422355120 in words is "twenty-two billion, four hundred twenty-two million, three hundred fifty-five thousand, one hundred twenty".